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What is the Least Common Multiple of 55361 and 55366?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 55361 and 55366 is 3065117126.

LCM(55361,55366) = 3065117126

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Least Common Multiple of 55361 and 55366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55361 and 55366, than apply into the LCM equation.

GCF(55361,55366) = 1
LCM(55361,55366) = ( 55361 × 55366) / 1
LCM(55361,55366) = 3065117126 / 1
LCM(55361,55366) = 3065117126

Least Common Multiple (LCM) of 55361 and 55366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55361 and 55366. First we will calculate the prime factors of 55361 and 55366.

Prime Factorization of 55361

Prime factors of 55361 are 23, 29, 83. Prime factorization of 55361 in exponential form is:

55361 = 231 × 291 × 831

Prime Factorization of 55366

Prime factors of 55366 are 2, 19, 31, 47. Prime factorization of 55366 in exponential form is:

55366 = 21 × 191 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 55361 and 55366.

LCM(55361,55366) = 231 × 291 × 831 × 21 × 191 × 311 × 471
LCM(55361,55366) = 3065117126